Homework+problems

Unit 1 (Sequences and Series) Homework Problems:

Handout from OUP book: p. 133 #2, 6, 10, 12, 14, 16 p. 135 #5, 9, 12 pp. 137-138 #1, 5, 6, 7 pp. 141-142 #6, 8, 15 p. 143 #1-9 p. 146 #1, 2 pp. 156-158 #3, 4, 13, 14

Unit 2 (Binomial Theorem, Combinations and Permutations):

OUP book on computer:

pp. 155-156 #1, 4, 6 pp. 156-158 #1, 15, 16 pp. 587-588 #1, 4, 8, 11, 16, 20, 23 pp. 590-591 #1, 2, 4, 7, 8, 9 pp. 592-594 #3, 6, 13, 17

Unit 3: Quadratic Functions, Inequalities and Systems of Equations

Cambridge book 1:

p. 169 #5ad, 6ad, 7, 8 p. 172 #2adg p. 174 #3(all), 4aeh p. 176 #2a, 3ad p. 179 #6ace, 8ac pp. 180-181 #9, 13, 18, 20 p. 149 #11-12 p. 155 #1adg, 3ad p. 300 #1adg, 3ac p 304 #1ace, 2a, 3b

Unit 4: Functions, Remainder Theorem and Intro to Calculus

Cambridge book 1:

pp. 136-137 #1, 5, 8 pp. 142-143 #2ad, 5 (all) p. 193 #1, 2, 3, 7 pp. 201-202 #1ace, 2ace, 3, 4, 5, 8, 12

Cambridge book 2:

pp. 24-25 #1ad, 2ad, 7cdefg, 8ae, 9ad, 10adg, 11ae pp. 32-33 #3ad, 4ad, 8ade, 9acg, 10acg p. 39 #3, 4, 5 p. 51 #1, 3, 5 pp. 62-63 #1adg, 2adg

Special problems on Max/Min and Kinematics:

Cambridge Book 1:

p. 353 #7, 8, 9, 10

pp. 345-346 #7, 8, 9, 10

Unit 5: Integration

Cambridge Book 1:

pp. 394-396 #1ace, 2ace, 3ac, 4, 5, 10ad, 12 p. 399 #2, 3 pp. 407-409 #1ad, 2ad, 3ace, 6 (all), 11 (all) pp. 416-418 #2, 5, 7, 14

Unit 6: Trigonometry

Cambridge Book 1:

pp. 259-260 #4 (all), 5 (all) p. 286 #9 (all)

Cambridge Book 2: p. 100 #1, 2, 3, 4a, 7, 8 pp. 75-76 #1, 4, 7a, 9, 10, 11 p. 78 #1, 5, 6, 9, 10 p. 90 #2ad, 3aceg, 6ac

Unit 7: Calculus cont'd

Cambridge Book 2:

pp. 270-271 #4, 5ac, 6ac, 9, 11 (chain rule) p. 167 #3ab, 4ac, 5ac (simple u-substitution) p. 359 #2abcd (more complicated u-substitution) p. 195 #1bc, 6c, 9 (product rule) pp. 199-200 #1ace, 2ac, 3c, 5, 8 (quotient rule) pp. 364-365 #1acd, 2a, 3, 5, 6 (implicit differentiation) p. 273 #1-7 all (related rates)

p. 287 #2ace, 3aeh, 4ade, 5acde, 7acf (differentiation of trig) p. 291 #2, 6 (applications of differentiation of trig) pp. 293-294 #1adg, 2adg

Unit 8: Logarithms

Cambridge Book 1:

p. 439 #1ad, 2ad, 3adg, 4adg p. 443 #2 (all), 3adg, 7 pp. 448-449 #1adg, 10, 11 p. 460 #2, 3, 5 pp. 461-462 #6, 8, 10, 11, 12, 17 p. 464 #4, 8, 10, 12, 13, 15

Cambridge Book 2:

p. 174 #1ae, 2ac, 3ac, 4, 5ae, 6a p. 180 #9 p. 183 #1aei, 2ab, 3ac, 5 p. 185 #1dh, 2ac, 3ace p. 189 #1ad p. 195 #3b, 6a pp. 199-200 #1f. 4b p. 204 #2f

Unit 9: Extended Calculus

Cambridge Book 2:

p. 297 #1-4 all (integration by parts) p. 301 #4-6 all (repeated integration by parts) pp. 304-305 #1ace, 2, 6, 8 (1st order ordinary differential equations) pp. 311-312 #1, 3, 7, 10 (more differential equations) pp. 316-318 #1, 17 (more differential equations) p. 353 #1acegi, 2ad, 3 (special u-sub) p. 357 #1ace, 3a (special u-sub) pp. 377-378 #2, 3, 5, 6 (inverse trig calculus) p. 380 #1ad, 2ad, 3ac (more inverse trig calculus)